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2012211125100 = 223252111779151343
BaseRepresentation
bin11101010010000001001…
…000010001101101101100
321010100212110020021111200
4131102001020101231230
5230432002022000400
64140221431445500
7265243316232621
oct35220110215554
97110773207450
102012211125100
117064127a3910
12285b91526890
1311799b379b97
146d56a548348
1537520053b00
hex1d481211b6c

2012211125100 has 432 divisors, whose sum is σ = 7377547806720. Its totient is φ = 453299558400.

The previous prime is 2012211125087. The next prime is 2012211125101. The reversal of 2012211125100 is 15211122102.

2012211125100 is a `hidden beast` number, since 20 + 1 + 2 + 21 + 112 + 510 + 0 = 666.

It is a super-2 number, since 2×20122111251002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2012211125101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13220029 + ... + 13371371.

It is an arithmetic number, because the mean of its divisors is an integer number (17077656960).

Almost surely, 22012211125100 is an apocalyptic number.

2012211125100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012211125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688773903360).

2012211125100 is an abundant number, since it is smaller than the sum of its proper divisors (5365336681620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2012211125100 is a wasteful number, since it uses less digits than its factorization.

2012211125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151470 (or 151460 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 2012211125100 its reverse (15211122102), we get a palindrome (2027422247202).

The spelling of 2012211125100 in words is "two trillion, twelve billion, two hundred eleven million, one hundred twenty-five thousand, one hundred".